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Unformatted text preview: x and cos x , but there are innitely many others.) Show that the function f also has this property. That is, show that f ( x +2 ) = f ( x ) for all x . (This homework problem has nothing to do with inverse functions etc.; its just more practice in the art of proving things using denitions and known theorems.) Important note : For this assignment, and future assignments, avoid short-hands like lim x q 1 /x = + = + that pretend that + and- are numbers. Instead, say things like As x , 1 /x becomes arbitrarily large and hence so does its square root. Please dont forget to write down on your assignment who you worked on the assignment with (if nobody, then write I worked alone), and write down on your time-sheet how many minutes you spent on each problem (this doesnt need to be exact)....
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